Ovals and unitals in commutative twisted field planes

被引:13
|
作者
Abatangelo, V
Enea, MR
Korchmáros, G
Larato, B
机构
[1] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy
[2] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy
关键词
polarities in commutative twisted field planes; collineation groups of ovals and unitals; autotopism collineation group;
D O I
10.1016/S0012-365X(99)00055-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is known that commutative twisted field planes of odd order have orthogonal polarities, and, for square orders, also unitary polarities, see Dembowski (Finite Geometries, Springer, Berlin, 1968). In this paper, the associated ovals and unitals are considered and their collineation groups are determined. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:3 / 8
页数:6
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